Hysteresis Loops and Phase Diagrams of the Spin-1 Ising Model in a Transverse Crystal Field

Within the framework of the effective-field theory with a probability distribution technique, which accounts for the self-spin correlation functions, the ferromagnetic spin-1 Ising model with a transverse crystal field on honeycomb, square and simple cubic lattices is studied. We have investigated the effect of the transverse crystal field on the phase diagrams, magnetization, hysteresis loops and χ_z,h of the system. A number of interesting phenomena of the system are discussed.